In this paper we introduce CPDPs (Communicating Piecewise Determin-istic Markov Processes) as an automata formalism for compositional specification of hybrid systems of the type PDP. A CPDP can be seen as an automaton representation of a PDP, with the extra possibility of interaction with other processes via a new concept that we call passive transitions.… (More)
CPDPs (Communicating Piecewise Deterministic Markov Processes) can be used for compositional specification of systems from the class of stochastic hybrid processes formed by PDPs (Piecewise Deter-ministic Markov Processes). We define CPDPs and the composition of CPDPs, and prove that the class of CPDPs is closed under composition. Then we introduce a notion… (More)
We investigate requirements for a composition operator for complex control systems. The operator should be suitable for a context where we have both supervisory control and a system that consists of multiple (two or more) components. We conclude that using both passive (observing) and active (controlling) transitions is advantageous for the specification of… (More)
CPDP is a class of automata designed for compositional specifica-tion/analysis of certain stochastic hybrid processes. We prove equivalence of the stochastic behaviors of CPDPs (newly defined here) and PDPs. With this result we obtain a clear stochastic processes semantics for CPDPs and we obtain the opportunity to use the powerful PDP analysis techniques… (More)
— In this paper we present an algorithm for finding a bisimulation relation for stochastic hybrid systems from the class of CPDPs (Communicating Piecewise Deterministic Markov Processes). We prove that the fixed point of the algorithm forms a bisimulation on the state space of the CPDP. We give sufficient conditions on the continuous dynamics and the… (More)
PROEFSCHRIFT ter verkrijging van de graad van doctor aan de Universiteit Twente, op gezag van de rector magnificus, prof. dr. Contents 1 Introduction 1 1.
6 Compositional specification of a forest landscape model using CPDPs 34 6.